含参数(A,η)-单调算子的一类似变分包含组

A System of parametric variational-like inclusions involving(A,η)-monotone operator

在Hilbert空间中,引进并研究了一类新的含参数(A,η)-单调算子的似变分包含组问题.通过利用预解算子技术和不动点定理,证明了这类变分包含组解的存在性,近似解的收敛性以及解的稳定性.推广和改进了相关文献的已知结果.

In this paper,a new system of parametric variational-like inclusions with（A,η）-monotone mappings is introduced and studied in Hilbert spaces.By the resolvent operator technique and Banach Contract Mapping Principle,the existence of solutions,the convergence of approximating solutions and the stability of solutions are proved for the system of variational-like inclusions.The present results improve and extend some known results.